Question

Expand and simplify
x(3x − 2) + x(5x + 7)

Answer 1

The given expression x(3x - 2) + x(5x + 7) is expanded using the distributive property to get 3x² - 2x + 5x² + 7x, then simplified by combining like terms to get 8x² + 5x.

Step-by-step explanation:

To expand and simplify the given expression, we need to apply the distributive property, which involves multiplying each term inside the parenthesis by the term outside. Here's the step-by-step expansion:

1. Multiply x by 3x to get 3x².
2. Multiply x by -2 to get -2x.
3. Multiply x by 5x to get 5x².
4. Multiply x by 7 to get 7x.

Combine all the terms to get the simplified expression: 3x² - 2x + 5x² + 7x.

Now, combine like terms:

1. Add 3x² and 5x² to get 8x².
2. Add -2x and 7x to get 5x.

Thus, the expanded and simplified form of the expression is 8x² + 5x.

After expanding, we eliminate terms wherever possible to simplify the algebra, and then we check the answer to see if it is reasonable.

Answer 2

(3x-2x)+(5x+7) then combine like terms 3x+2x+5x=10 10x=7 divide each side by 10 or just leave it as 7/10